AN MLG ACR CREW RAN INTO ENRTE DELAYS. THEY CONTINUED ON TO THEIR VMC DEST; DECLARED A MIN FUEL STATE BECAUSE OF HVY ARR TFC AND LANDED WITHOUT INCIDENT.

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DECLARED MIN FUEL DUE TO UNANTICIPATED DELAYS ALONG RTE; AND REROUTING. FLT LAS-CLE. SCHEDULED DEP VERY EARLY AM; SCHEDULED TO ARRIVE AM38 EDT. FLT PLAN: BURN 0185 03:36; HOLD 0025 00:30; RESERVE 0034 00:45; TAXI 0003 00:13. ACTUAL: BURN 0215 04:04; TAXI 0003 00:14. UNRESTRICTED CLBOUT OF LAS TO CRUISE ALT. CLRED DIRECT TO THE W BOUNDARY OF ZDV. ZDV ISSUED A RERTE: DIRECT GCK-PER FURTHER TO FOLLOW -- IMMEDIATELY THOUGHT OF FUEL. W OF PUB; CTR ISSUED R 360 -- ON INQUIRY; STATED THAT SECTOR WAS SATURATED AND UNABLE TO HAND OFF. DISCUSSED DIVERTING TO DEN AT THIS TIME FOR FUEL -- DECIDED TO CONTINUE USING FLT PLANNED HOLD FUEL; NOW ACCEPTING NO MORE DELAYS AND LNDG WITH PLANNED RESERVE. IF ARTCC KNEW OF DELAYS; THEY SHOULD HAVE NOTIFIED MY COMPANY SO WE COULD FUEL ACCORDINGLY; OR GND HOLD LAS. AFTER GCK; WENT RNAV DIRECT TO CLE. AT THIS TIME SENT ACARS ETA UPDATE OF AM55Z. AFTER HOLD AND MORE SOUTHERLY RTE; IT LOOKED AS THOUGH WE WOULD BE DIPPING INTO THE RESERVE FUEL AND LNDG CLE WITH 3000 POUNDS. WX WAS VFR IN CLE. AFTER WE RECEIVED STEP DOWN CLRNC FROM 370 TO 290; DECLARED MIN FUEL. DID NOT WANT TO TAKE LCL TFC DELAYS. SUPPLEMENTAL INFO FROM ACN 217815: PREPARATIONS WERE NORMAL EXCEPT THAT #1 FUEL GAUGE WAS INOP. TANK WAS FILLED WITH A KNOWN QUANTITY AND THE MECH EVEN STUCK THE TANK. OVER DEN; ATC PUT US IN A HOLD. THIS WAS EARLY AM AND HAD NEVER OCCURRED BEFORE. WE WERE HOLDING FOR 25 MINS BEFORE BEING CLRED TO CONTINUE. IT WAS CLR THAT WE WILL ARRIVE WITH A MAJOR ARR BANK. CLE WAS VFR. THE POSSIBILITIES OF DELAY VECTORS WERE LIKELY; AND WITH LOW ALT VECTORING; OUR FUEL WOULD BE VERY CRITICAL. WE WANTED TO HAVE ENOUGH FUEL FOR 1 GAR IF NEEDED. BTWN 2300-2800 POUNDS OF FUEL ON BOARD WHEN WE ARRIVED AT THE GATE.